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Finding the Third Proportional to 116,825 and 183,024

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Solution

The third proportional to 116,825 and 183,024 is: 286,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,825 : 183,024 = 183,024 : x
  2. Step 2: Convert to fraction form
    116,825/183,024 = 183,024/x
  3. Step 3: Cross multiply
    116,825x = 183,024 × 183,024
  4. Step 4: Simplify right side
    116,825x = 33,497,784,576
  5. Step 5: Solve for x
    x = 33,497,784,576/116,825
  6. Step 6: Final answer
    x = 286,734.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.